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Simplifying 21 + -2(3m + -10) = 5(4 + -1m) Reorder the terms: 21 + -2(-10 + 3m) = 5(4 + -1m) 21 + (-10 * -2 + 3m * -2) = 5(4 + -1m) 21 + (20 + -6m) = 5(4 + -1m) Combine like terms: 21 + 20 = 41 41 + -6m = 5(4 + -1m) 41 + -6m = (4 * 5 + -1m * 5) 41 + -6m = (20 + -5m) Solving 41 + -6m = 20 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 41 + -6m + 5m = 20 + -5m + 5m Combine like terms: -6m + 5m = -1m 41 + -1m = 20 + -5m + 5m Combine like terms: -5m + 5m = 0 41 + -1m = 20 + 0 41 + -1m = 20 Add '-41' to each side of the equation. 41 + -41 + -1m = 20 + -41 Combine like terms: 41 + -41 = 0 0 + -1m = 20 + -41 -1m = 20 + -41 Combine like terms: 20 + -41 = -21 -1m = -21 Divide each side by '-1'. m = 21 Simplifying m = 21
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